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Finding the Fourth Proportional to 1,603,156,731.10, 2,404,735,096.65 and 1,603,156,731.10

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Solution

The fourth proportional to 1,603,156,731.10, 2,404,735,096.65 and 1,603,156,731.10 is: 2,404,735,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,156,731.10 : 2,404,735,096.65 = 1,603,156,731.10 : x
  2. Step 2: Convert to fraction form
    1,603,156,731.10/2,404,735,096.65 = 1,603,156,731.10/x
  3. Step 3: Cross multiply
    1,603,156,731.10x = 2,404,735,096.65 × 1,603,156,731.10
  4. Step 4: Simplify right side
    1,603,156,731.10x = 3,855,167,256,706,856,448
  5. Step 5: Solve for x
    x = 3,855,167,256,706,856,448/1,603,156,731.10
  6. Step 6: Final answer
    x = 2,404,735,096.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.